Khrapov S.S. Numerical modeling of self-consistent dynamics of shallow waters, traction and suspended sediments: II. Study of the transverse deformations of the channel and the redistribution of water discharges along the branches of the Volga River durin
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https://doi.org/10.15688/mpcm.jvolsu.2022.4.5
Sergey S. Khrapov
Candidate of Physical and Mathematical Sciences, Associate Professor,
Department of Information Systems and Computing Modeling,
Volgograd State University
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https://orcid.org/0000-0003-2660-2491
Prosp. Universitetsky, 100, 400062 Volgograd, Russian Federation
Abstract. The dynamics of water levels, transverse channel deformations, and redistribution of water discharges along the branches of the Volga River, both during planned industrial sand mining and during extreme transformation of the bottom topography in the area of the quarry, have been studied. A real quarry of non-metallic building materials was considered, located at the mouth of the Volozhka Partridge of the Volga — Akhtuba floodplain (VAF) in the section 2549–2550 km of the Volga River. Mathematical modeling of the joint dynamics of shallow waters, traction and suspended sediments is carried out, which takes into account the nonlinear dynamics of the liquid and bottom deformations. For the numerical solution of the Saint-Venant and Exner equations, the CSPH-TVD method was used, the parallel CUDA algorithm of which is adapted for highperformance computing on supercomputers with graphics coprocessors (GPUs). It is shown that the conditions of quarry development, both during planned mining and under extreme bottom deformation, do not significantly affect the structure of channel flows along shipping routes.
Key words: channel deformations, water levels and discharges, surface water dynamics, entrained and suspended sediments, numerical modeling, CSPH-TVD method, parallel computing, CUDA algorithm, GPU supercomputers.
Numerical modeling of self-consistent dynamics of shallow waters, traction and suspended sediments: II. Study of the transverse deformations of the channel and the redistribution of water discharges along the branches of the Volga River during industrial sand mining by Khrapov S.S. is licensed under a Creative Commons Attribution 4.0 International License.
Citation in English: Mathematical Physics and Computer Simulation. Vol. 25 No. 4 2022, pp. 52-65
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